Brauer group and the Merkujev-Suslin theorem

Author(s)

Gilberto Luiz Angelice de Camargo

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
• Defense date: 2013-05-28

Examining board members

Eduardo Tengan; Daniel Levcovitz; Paulo Agozzini Martin

• Advisor: Eduardo Tengan

Abstract

In this work we show the important theorem of Merkurjev- Suslin for 2-torsion, following the paper [Mer06], which states that for any field F of characteristic not 2 the 2-torsion \'IND. 2 Br\'(F) of the Brauer Group of F is generated by the quaternion algebra classes (AU)

• FAPESP's process: 10/13195-6 - Brauer group and the Merkurjev-Suslin theorem
• Grantee: Gilberto Luiz Angelice de Camargo
• Support Opportunities: Scholarships in Brazil - Master